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<span class="kw">let </span><font color="Maroon" title="c1">i</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">R</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c1">i</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds   <a href="rvsum_1.html#K14" title="RVSUM_1:func.14">mlt</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> 1</span>)</span>,<font color="Olive" title="b1">R</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">R</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">R</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Maroon" title="c1">i</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="rvsum_1.html#K14" title="RVSUM_1:func.14">mlt</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> 1</span>)</span>,<font color="Maroon" title="c2">R</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">R</font></span><br/>



<span class="kw">thus </span> <a href="rvsum_1.html#K14" title="RVSUM_1:func.14">mlt</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> 1</span>)</span>,<font color="Maroon" title="c2">R</font>) = 
1 <a href="rvsum_1.html#K11" title="RVSUM_1:func.11">*</a> <font color="Maroon" title="c2">R</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_1.html#T63" onmouseover="rs('rvsum_1/T63')" onmouseout="rh()">RVSUM_1:63</a></span>
<br/>.= 
<font color="Maroon" title="c2">R</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_1.html#T52" onmouseover="rs('rvsum_1/T52')" onmouseout="rh()">RVSUM_1:52</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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